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Finding the Third Proportional to 455,051.25 and 655,512.75

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Solution

The third proportional to 455,051.25 and 655,512.75 is: 944,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,051.25 : 655,512.75 = 655,512.75 : x
  2. Step 2: Convert to fraction form
    455,051.25/655,512.75 = 655,512.75/x
  3. Step 3: Cross multiply
    455,051.25x = 655,512.75 × 655,512.75
  4. Step 4: Simplify right side
    455,051.25x = 429,696,965,412.56
  5. Step 5: Solve for x
    x = 429,696,965,412.56/455,051.25
  6. Step 6: Final answer
    x = 944,282.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.